Geodesic
Finite generalized $c$-supersoluble groups and their mutually permutable products
Problemy fiziki, matematiki i tehniki, no. 2 (2016), pp. 45-53

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Let $\mathfrak{F}$ be a class of groups. A finite group $G$ is called a $ca$-$\mathfrak{F}$-group if its every non-abelian chief factor is simple and $H/K\leftthreetimes C_G(H/K)\in\mathfrak{F}$ for every abelian chief factor $H / K$ of $G$. In this paper the structure of finite $ca$-$\mathfrak{F}$-groups under the assumption that $\mathfrak{F}$ is a soluble saturated formation is found. Properties of mutually permutable products of finite $ca$-$\mathfrak{F}$-groups are studied.
Keywords: finite group, $ca$-$\mathfrak{F}$-group, mutually permutable products of subgroups.
Mots-clés : composition formation 
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     author = {E. N. Myslovets and A. F. Vasil'ev},
     title = {Finite generalized $c$-supersoluble groups and their mutually permutable products},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {45--53},
     publisher = {mathdoc},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2016_2_a7/}
}
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E. N. Myslovets; A. F. Vasil'ev. Finite generalized $c$-supersoluble groups and their mutually permutable products. Problemy fiziki, matematiki i tehniki, no. 2 (2016), pp. 45-53. http://geodesic.mathdoc.fr/item/PFMT_2016_2_a7/